| Hardy和及其均值 |
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| 引用本文： | 姚维利. Hardy和及其均值[J]. 纺织高校基础科学学报, 2009, 22(2): 155-159 |
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| 作者姓名： | 姚维利 |
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| 作者单位： | 上海大学,理学院,上海,200444 |
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| 基金项目： | 上海大学创新基金资助项目，上海市优秀青年教师科研基金资助项目 |
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| 摘 要： | Hardy和的均值性质是许多学者研究的一个热点,但是对 s4(h,k)均值性质的研究仍然是个空白.利用Hardy和s4(h,k)与三角函数的关系及 Dirichlet L-函数的均值定理,研究了s4(h,k)的三次均值性质,并得到了3个有趣的渐近公式.
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| 关 键 词： | Hardy和 Dedekind和 均值分布 渐近公式 |
On the mean value of the Hardy sums |
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| YAO Wei-li. On the mean value of the Hardy sums[J]. Basic Sciences Journal of Textile Universities, 2009, 22(2): 155-159 |
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| Authors: | YAO Wei-li |
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| Affiliation: | YAO Wei-li(College of Science,Shanghai University,Shanghai 200444,China) |
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| Abstract: | The properties of Hardy sums have been studied by many sholars,but there is still a blank on study of s4(h,k).In this paper,the second power mean properties of s4(h,k) is studied by using the mean theorem of Dirichlet L-function and the relationship between the trigonometric function and the Hardy sums.And three intresting asymptotic formula are also obtained. |
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| Keywords: | Hardy sums Dedekind sums mean value distribution asymptotic formula |
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